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Author  Title  Accn#  Year  Item Type  Claims 
1 
Tanaka, Hiro Lee 
Lectures on Factorization Homology, ???Categories, and Topological Field Theories 
I09620 
2020 
eBook 

2 
Ku??, Marek 
Category Theory in Physics, Mathematics, and Philosophy 
I08612 
2019 
eBook 

3 
Coecke, Bob 
Current Research in Operational Quantum Logic 
I11348 
2000 
eBook 

4 
Husem??ller, Dale 
Basic Bundle Theory and KCohomology Invariants 
I08348 
2008 
eBook 

5 
Unterberger, J??r??mie 
The Schr??dingerVirasoro Algebra 
I08215 
2012 
eBook 

6 
Kapustin, Anton 
Homological Mirror Symmetry 
I07440 
2009 
eBook 

7 
Coecke, Bob 
New Structures for Physics 
I07027 
2011 
eBook 


1.


Title  Lectures on Factorization Homology, ???Categories, and Topological Field Theories 
Author(s)  Tanaka, Hiro Lee 
Publication  Cham, Springer International Publishing, 2020. 
Description  XII, 84 p. 13 illus., 2 illus. in color : online resource 
Abstract Note  This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples. Along the way, the reader is also introduced to modern ideas in homotopy theory and category theory, particularly as it relates to the use of infinitycategories. As with the original lectures, the text is meant to be a leisurely read suitable for advanced graduate students and interested researchers in topology and adjacent fields 
ISBN,Price  9783030611637 
Keyword(s)  1. ALGEBRAIC TOPOLOGY
2. Category theory (Mathematics)
3. Category Theory, Homological Algebra
4. EBOOK
5. EBOOK  SPRINGER
6. Homological algebra
7. MATHEMATICAL PHYSICS
8. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I09620 


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2.


Title  Category Theory in Physics, Mathematics, and Philosophy 
Author(s)  Ku??, Marek;Skowron, Bart??omiej 
Publication  Cham, Springer International Publishing, 2019. 
Description  XII, 134 p. 3 illus., 1 illus. in color : online resource 
Abstract Note  The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and nonsubstantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations. Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science 
ISBN,Price  9783030308964 
Keyword(s)  1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. EBOOK
4. EBOOK  SPRINGER
5. Homological algebra
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. Mathematics???Philosophy
9. PHILOSOPHY OF MATHEMATICS
10. PHYSICS
11. QUANTUM PHYSICS

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08612 


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3.


Title  Current Research in Operational Quantum Logic : Algebras, Categories, Languages 
Author(s)  Coecke, Bob;Moore, David;Wilce, Alexander 
Publication  Dordrecht, Springer Netherlands, 2000. 
Description  VII, 325 p : online resource 
Abstract Note  The present volume has its origins in a pair of informal workshops held at the Free University of Brussels, in June of 1998 and May of 1999, named "Current Research 1 in Operational Quantum Logic". These brought together mathematicians and physicists working in operational quantum logic and related areas, as well as a number of interested philosophers of science, for a rare opportunity to discuss recent developments in this field. After some discussion, it was decided that, rather than producing a volume of conference proceedings, we would try to organize the conferees to produce a set of comprehensive survey papers, which would not only report on recent developments in quantum logic, but also provide a tutorial overview of the subject suitable for an interested nonspecialist audience. The resulting volume provides an overview of the concepts and methods used in current research in quantum logic, viewed both as a branch of mathemati?? cal physics and as an area of pure mathematics. The first half of the book is concerned with the algebraic side of the subject, and in particular the theory of orthomodular lattices and posets, effect algebras, etc. In the second half of the book, special attention is given to categorical methods and to connections with theoretical computer science. At the 1999 workshop, we were fortunate to hear three excellent lectures by David J. Foulis, represented here by two contributions. Dave's work, spanning 40 years, has helped to define, and continues to reshape, the field of quantum logic 
ISBN,Price  9789401712019 
Keyword(s)  1. ALGEBRA
2. Applications of Mathematics
3. APPLIED MATHEMATICS
4. Category theory (Mathematics)
5. Category Theory, Homological Algebra
6. EBOOK
7. EBOOK  SPRINGER
8. ENGINEERING MATHEMATICS
9. GROUP THEORY
10. Group Theory and Generalizations
11. Homological algebra
12. Order, Lattices, Ordered Algebraic Structures
13. Ordered algebraic structures
14. QUANTUM PHYSICS

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11348 


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4.


Title  Basic Bundle Theory and KCohomology Invariants 
Author(s)  Husem??ller, Dale;Joachim, Michael;Jurco, Branislav;Schottenloher, Martin 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2008. 
Description  XV, 340 p : online resource 
Abstract Note  Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological Ktheory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, which has developed for almost 50 years in many directions, comes from quantum field theory, especially string theory, where topological invariants play an important role 
ISBN,Price  9783540749561 
Keyword(s)  1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. EBOOK
4. EBOOK  SPRINGER
5. Homological algebra
6. Mathematical Methods in Physics
7. PHYSICS

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I08348 


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5.


Title  The Schr??dingerVirasoro Algebra : Mathematical structure and dynamical Schr??dinger symmetries 
Author(s)  Unterberger, J??r??mie;Roger, Claude 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2012. 
Description  XLII, 302 p : online resource 
Abstract Note  This monograph provides the first uptodate and selfcontained presentation of a recently discovered mathematical structure???the Schr??dingerVirasoro algebra. Just as Poincar?? invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and twodimensional equilibrium statistical physics, this algebra of nonrelativistic conformal symmetries may be expected to apply itself naturally to the study of some models of nonequilibrium statistical physics, or more specifically in the context of recent developments related to the nonrelativistic AdS/CFT correspondence. ?? The study of the structure of this infinitedimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinitedimensional Lie algebras, and the spectral theory of Schr??dinger operators. 
ISBN,Price  9783642227172 
Keyword(s)  1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. COMPLEX SYSTEMS
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK  SPRINGER
7. Homological algebra
8. LIE GROUPS
9. Mathematical Methods in Physics
10. MATHEMATICAL PHYSICS
11. PHYSICS
12. STATISTICAL PHYSICS
13. Statistical Physics and Dynamical Systems
14. TOPOLOGICAL GROUPS
15. Topological Groups, Lie Groups

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08215 


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6.


Title  Homological Mirror Symmetry : New Developments and Perspectives 
Author(s)  Kapustin, Anton;Kreuzer, Maximilian;Schlesinger, KarlGeorg 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2009. 
Description  XI, 272 p : online resource 
Abstract Note  Homological Mirror Symmetry, the study of dualities of certain quantum field theories in a mathematically rigorous form, has developed into a flourishing subject on its own over the past years. The present volume bridges a gap in the literature by providing a set of lectures and reviews that both introduce and representatively review the stateofthe art in the field from different perspectives. With contributions by K. Fukaya, M. Herbst, K. Hori, M. Huang, A. Kapustin, L. Katzarkov, A. Klemm, M. Kontsevich, D. Page, S. Quackenbush, E. Sharpe, P. Seidel, I. Smith and Y. Soibelman, this volume will be a reference on the topic for everyone starting to work or actively working on mathematical aspects of quantum field theory 
ISBN,Price  9783540680307 
Keyword(s)  1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. EBOOK
4. EBOOK  SPRINGER
5. Homological algebra
6. Mathematical Methods in Physics
7. PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I07440 


On Shelf 




7.
 
Title  New Structures for Physics 
Author(s)  Coecke, Bob 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2011. 
Description  XVIII, 1031 p : online resource 
Abstract Note  This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard???s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists 
ISBN,Price  9783642128219 
Keyword(s)  1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. COMPUTERS
4. EBOOK
5. EBOOK  SPRINGER
6. Homological algebra
7. Mathematical Methods in Physics
8. PHYSICS
9. Theory of Computation

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I07027 


On Shelf 



 